Hysteresis and chaos in anomalous Josephson junctions without capacitance

Abstract

Usually, overdamped Josephson junctions do not exhibit chaotic behavior in their phase dynamics, either because the phase space dimension is less than three (as in the case of a single overdamped ac-driven junction) or due to the general tendency of systems to become less chaotic with increasing dissipation (as in the case of coupled overdamped junctions). Here we consider the so-called ${\phi }_0$ superconductor/ferromagnet/superconductor Josephson junction in which the current flowing through the junction may induce magnetization dynamics in the ferromagnetic interlayer. We find that due to the induced magnetization dynamics, even in the overdamped limit, i.e. for a junction without capacitance, the junction may exhibit chaos and hysteresis that in some cases leads to multiple branches in its current-voltage characteristics. We also show that pulsed current signals can be used to switch between the different voltage states, even in the presence of added thermal noise. Such switching could be used in cryogenic memory components.

arXiv comment17 pages, 12 figures

References in corpus (43)

• Josephson supercurrent through a topological insulator surface state
• Josephson ${\phi }_0$-junction in nanowire quantum dots
• Spin-Orbit induced phase-shift in Bi${}_2$Se${}_3$ Josephson junctions
• A Josephson phase battery
• Gate Controlled Anomalous Phase Shift in Al/InAs Josephson Junctions
• Magnetic moment manipulation by a Josephson current
• Enhancement of the superconducting transition temperature in Nb/Permalloy bilayers by controlling the domain state of the ferromagnet
• Adaptively time stepping the stochastic Landau-Lifshitz-Gilbert equation at nonzero temperature: implementation and validation in MuMax3
• Ballistic edge states in Bismuth nanowires revealed by SQUID interferometry
• Critical Current Behavior in Josephson Junctions with the Weak Ferromagnet PdNi
• Josephson supercurrent through the topological surface states of strained bulk HgTe
• A survey of classical and quantum interpretations of experiments on Josephson junctions at very low temperatures
• Magnetization reversal by superconducting current in ${\phi }_0$ Josephson junctions
• A cryogenic memory element based on an anomalous Josephson junction
• Magnetization dynamics in proximity-coupled superconductor/ferromagnet/superconductor multilayers
• Realization of the thermal equilibrium in inhomogeneous magnetic systems by the Landau-Lifshitz-Gilbert equation with stochastic noise, and its dynamical aspects
• Magnetic properties and domain structure of ultrathin yttrium iron garnet/Pt bilayers
• Ferromagnetic resonance and magnetic precessions in ${\phi }_0$ junction
• Lévy noise effects on Josephson junctions
• Magnetoelectric effects in Josephson junctions
• Spin torques and magnetic texture dynamics driven by the supercurrent in superconductor/ferromagnet structures
• Re-orientation of easy axis in ${\phi }_0$ junction
• Resistive state of SFS Josephson junctions in the presence of moving domain walls
• Thermal noise effects on the magnetization switching of a ferromagnetic anomalous Josephson junction
• Numerical integration of the stochastic Landau-Lifshitz-Gilbert equation in generic time-discretisation schemes
• Electrical control of magnetization in S/F/S junctions on a 3D topological insulator
• Analytical criteria for magnetization reversal in ${\phi }_0$ Josephson junction
• Magnetization dynamics in proximity-coupled superconductor-ferromagnet-superconductor multilayers. Part II
• Magnetization reversal in S/F/S Josephson junctions on a 3D topological insulator
• Anomalous Gilbert Damping and Duffing Features of the SFS {\boldmath ${\phi }_0$} Josephson Junction
• Locking of magnetization and Josephson oscillations at ferromagnetic resonance in ${\phi }_0$ junction under external radiation
• Current-induced spin-orbit field in permalloy interfaced with ultrathin Ti and Cu
• Bifurcation structure and chaos in nanomagnet coupled to Josephson junction
• Switching current distributions in ferromagnetic anomalous Josephson junctions
• Anomalous Josephson effect in planar noncentrosymmetric superconducting devices
• Long-range interaction of magnetic moments in a coupled system of S/F/S Josephson junctions with anomalous ground-state phase shift
• Electrical response of S-F-TI-S junctions on magnetic texture dynamics
• Anomalous Phase Dynamics of Driven Graphene Josephson Junctions
• Anomalous Josephson Effect in Topological Insulator-Based Josephson Trijunction
• Noise-induced dephasing of an ac-driven Josephson junction
• Emergence, evolution, and control of multistability in a hybrid topological quantum/classical system
• Controllable magnetic states in chains of coupled phi-0 Josephson junctions with ferromagnetic weak links
• Buzdin, Shapiro and Chimera Steps in ${\phi }_0$ Josephson Junctions

Cited by in corpus (2)

• Voltage-driven dynamics of ${\phi }_0$-S/F/S Josephson junctions chains
• Breather bound states in a parametrically driven magnetic wire